Find the critical points of the function f(x) = x³ + 1¹5 x² + 50x + 8. Use the First Derivative Test to determine whether the critical point is a local minimum or local maximum (or neither).
Find the critical points of the function f(x) = x³ + 1¹5 x² + 50x + 8. Use the First Derivative Test to determine whether the critical point is a local minimum or local maximum (or neither).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
![Find the critical points of the function f(x) = x³ + 15x² + 50x + 8. Use the First Derivative Test to determine whether the
critical point is a local minimum or local maximum (or neither).
(Use symbolic notation and fractions where needed. Give your answers in the form of comma separated lists. Enter DNE if there
are no critical points.)
f has local a minimum at
f has a local maximum at
Find the intervals on which the given function is increasing or decreasing.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for
infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is
open or closed.)
the function is increasing on
the function is decreasing on](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36e9e6bf-5fca-412d-926f-13eedac0d9c5%2F06e21ab6-394c-426b-a92a-3533be082004%2Fwx3jp04_processed.png&w=3840&q=75)
Transcribed Image Text:Find the critical points of the function f(x) = x³ + 15x² + 50x + 8. Use the First Derivative Test to determine whether the
critical point is a local minimum or local maximum (or neither).
(Use symbolic notation and fractions where needed. Give your answers in the form of comma separated lists. Enter DNE if there
are no critical points.)
f has local a minimum at
f has a local maximum at
Find the intervals on which the given function is increasing or decreasing.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for
infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is
open or closed.)
the function is increasing on
the function is decreasing on
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